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Finding the Third Proportional to 76,826 and 166,773

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Solution

The third proportional to 76,826 and 166,773 is: 362,028.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,826 : 166,773 = 166,773 : x
  2. Step 2: Convert to fraction form
    76,826/166,773 = 166,773/x
  3. Step 3: Cross multiply
    76,826x = 166,773 × 166,773
  4. Step 4: Simplify right side
    76,826x = 27,813,233,529
  5. Step 5: Solve for x
    x = 27,813,233,529/76,826
  6. Step 6: Final answer
    x = 362,028.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.